To Show: There is at least one point between
Answer to Problem 50E
It has been shown that there is at least one point between
Explanation of Solution
Given:
The functions
Concept used:
According to the Mean Value Theorem,
If a function
Calculation:
It is given that the functions
Then, it follows that
Then, according to the Mean Value Theorem,
Now, it is given that
Then,
Simplifying,
Put
Now,
Then,
This shows that there is at least one point between
A sketch to illustrate the above proof is given as follows:
Conclusion:
It has been shown that there is at least one point between
Chapter 4 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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